JEE MAIN - Physics (2021 - 27th August Evening Shift - No. 19)

X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number n = 6 ? The value of X is ______________.
Answer
15

Explanation

No. of different wavelengths = $${{n(n - 1)} \over 2}$$

$$ = {{6 \times (6 - 1)} \over 2} = {{6 \times 5} \over 2} = 15$$

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